Irodov – Problems in General Physics

6. Greek Alphabet

A, a—alpha I,^ t—iota P, p—rho

B, n—beta K, x—kappa I, a—sigma

I', y—gamma A, 2,.—lambda T, r—tau

A, 6—delta M, p,—mu 1", v—upsilon

E, e—epsilon N, v—nu al, 11)— phi

Z, c— zeta E, —xi X, x—chi

H, s—eta 0, o—omicron IV, 1p— psi

0, 0— theta H, it—pi 52, co—omega

7. Numerical Constants and Approximations

Numerical constants Approximate formulas (for cc << 1)

21=3.1416 (1 ± cOn .,-.-. 1 ± n a

n 2 =9.8696 er-:-...,1-1-a

lin=1.7725 In (1+a) 7:.--.. a

e= 2.7183 sin a --:.-... a

log e = 0.4343 cos a ...-. 1— a 2 /2

In 10=2.3026 tan a ,-----, a

8. Some Data on Vectors

a(b+e)=ab-l-ac [a, b±c]--=[abl+[ac]

ab=aibx -Fay by+azbz [a [bell =b (ac)— c (ab)

i j k

a x ay at =(ay bz —az by)i+(azb x—axbz)i+ (axby—aybx) k

b x by bz

dt (a+b)

da db

=

d d a da

a)= -it-a±ce dt

d is‘ da db

dt dt "ma dt

d

r r da i,

1-

1 r db

La"1= L dt 1 L a dt j

[ab] =